{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "8af3642a-c101-41d7-8956-012f5d21deb7",
   "metadata": {},
   "source": [
    "Chapter 7\n",
    "# EWMA衰减系数\n",
    "Book_6《数据有道》 | 鸢尾花书：从加减乘除到机器学习"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "ebca8dde-f0c9-4408-9310-8b810785aad1",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "lambdas = np.linspace(0.9,0.99,10)\n",
    "i_day   = np.linspace(1,20,20)\n",
    "\n",
    "lambda_l, ii = np.meshgrid(lambdas,i_day)\n",
    "\n",
    "ww = (1 - lambda_l)*lambda_l**(ii - 1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "b797d294-4a37-410c-87a0-c908133b9f9f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "\n",
    "colors = plt.cm.jet(np.linspace(0,1,10))\n",
    "\n",
    "for i in np.linspace(1,10,10):\n",
    "    plt.plot(i_day,ww[:,int(i)-1],marker = 'x',\n",
    "             color = colors[int(i)-1],\n",
    "             label = '$\\lambda = {lll:.2f}$'.format(lll = lambdas[int(i)-1]))\n",
    "\n",
    "plt.xlabel('Day, i')\n",
    "plt.ylabel('EWMA weight')\n",
    "plt.xticks(i_day)\n",
    "plt.legend()\n",
    "ax.invert_xaxis()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "0d056076-54db-4cc7-a9b0-ab815900cb6f",
   "metadata": {},
   "outputs": [],
   "source": [
    "HL = np.log(0.5)/np.log(lambdas)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "b0c83572-fc70-4f20-879d-0a1083ed5f18",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'Half life')"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "\n",
    "plt.plot(lambdas,HL,marker = 'x')\n",
    "plt.xlabel('$\\lambda$')\n",
    "plt.ylabel('Half life')"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
